The numerator of a fraction is 2 less than the denominator. If 3 is added to the numerator and denominator it becomes 3/4 then the original Fraction is ____________
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GIVEN:-
- The numerator is less than 2 than the denominator.
- If 3 is added to both numerator and denominator it becomes 3/4
SOLUTION:-
Let the denominator be x and numerator be x-2
ATQ,
(x-2)+3/x+3 = 3/4
x+1/x+3 = 3/4
By cross multiplication we get,
3(x+3) = 4(x+1)
3x+9 = 4x+4
9 - 4 = 4x - 3x
5 = x
Thus the original fraction was
5-2/5
= 3/5
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